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Finding the Fourth Proportional to 707.36, 977.10 and 597.44

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Solution

The fourth proportional to 707.36, 977.10 and 597.44 is: 825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.36 : 977.10 = 597.44 : x
  2. Step 2: Convert to fraction form
    707.36/977.10 = 597.44/x
  3. Step 3: Cross multiply
    707.36x = 977.10 × 597.44
  4. Step 4: Simplify right side
    707.36x = 583,758.62
  5. Step 5: Solve for x
    x = 583,758.62/707.36
  6. Step 6: Final answer
    x = 825.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.